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140323968 = 2733192137
BaseRepresentation
bin10000101110100…
…10110010000000
3100210001012022000
420113102302000
5241410331333
621531344000
73322506531
oct1027226200
9323035260
10140323968
1172233524
123abb2000
13230c1945
14148ca688
15c4bc713
hex85d2c80

140323968 has 128 divisors (see below), whose sum is σ = 436152000. Its totient is φ = 44292096.

The previous prime is 140323961. The next prime is 140323991. The reversal of 140323968 is 869323041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140323961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64596 + ... + 66732.

Almost surely, 2140323968 is an apocalyptic number.

140323968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218076000).

140323968 is an abundant number, since it is smaller than the sum of its proper divisors (295828032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140323968 is a wasteful number, since it uses less digits than its factorization.

140323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 140323968 is about 11845.8418020840. The cubic root of 140323968 is about 519.6496259052.

The spelling of 140323968 in words is "one hundred forty million, three hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2137 2432 2736 3456 3648 4104 4274 5472 6411 7296 8208 8548 10944 12822 16416 17096 19233 21888 25644 32832 34192 38466 40603 51288 57699 65664 68384 76932 81206 102576 115398 121809 136768 153864 162412 205152 230796 243618 273536 307728 324824 365427 410304 461592 487236 615456 649648 730854 820608 923184 974472 1096281 1230912 1299296 1461708 1846368 1948944 2192562 2461824 2598592 2923416 3692736 3897888 4385124 5197184 5846832 7385472 7795776 8770248 11693664 15591552 17540496 23387328 35080992 46774656 70161984 140323968